Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-22T15:21:43.599Z Has data issue: false hasContentIssue false
  • English
  • Français

Automorphisms of Coxeter Groups and Lusztig’s Conjectures for Hecke Algebras with Unequal Parameters

Published online by Cambridge University Press:  11 January 2016

Cédric Bonnafé
Cédric Bonnafé*
Affiliation:
Labo. de Math. de Besançon (CNRS: UMR 6623)Université de Franche-Comté, 16 Route de Gray 25030 Besançon Cedex, [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let (W,S) be a Coxeter system, let G be a finite solvable group of automorphisms of (W, S) and let ϕ be a weight function which is invariant under G. Let ϕG denote the weight function on WG obtained by restriction from ϕ. The aim of this paper is to compare the a-function, the set of Duflo involutions and the Kazhdan-Lusztig cells associated with (W, ϕ) and to (WG,ϕG), provided that Lusztig’s Conjectures hold.

Keywords

20C0820C15
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 195 , 2009 , pp. 153 - 164
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2009

References

[G] Geck, M., On the induction of Kazhdan-Lusztig cells, Bull. London Math. Soc, 35 (2003), 608–614.CrossRefGoogle Scholar
[H] Hée, J.-Y., Systèmes de racines sur un anneau commutatif totalement ordonné, Ge-ometriae Dedicata, 37 (1991), 65–102.Google Scholar
[L] Lusztig, G., Hecke algebras with unequal parameters, CRM Monograph Series 18, American Mathematical Society, Providence, RI, 2003, 136 pp.Google Scholar
[T] Thévenaz, J., G-Algebras and Modular Representation Theory, Clarendon Press, Oxford, 1995.Google Scholar